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230429088 = 25322343809
BaseRepresentation
bin11011011110000…
…01000110100000
3121001121000021200
431233001012200
5432442212323
634510521200
75465420631
oct1557010640
9531530250
10230429088
1110908686a
1265206200
133897c696
1422863888
151536a443
hexdbc11a0

230429088 has 144 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 71672832.

The previous prime is 230429077. The next prime is 230429113. The reversal of 230429088 is 880924032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284428 + ... + 285236.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2230429088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

230429088 is an abundant number, since it is smaller than the sum of its proper divisors (470110752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230429088 is a wasteful number, since it uses less digits than its factorization.

230429088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 230429088 is about 15179.8909086989. The cubic root of 230429088 is about 613.0733439134.

The spelling of 230429088 in words is "two hundred thirty million, four hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 43 46 48 69 72 86 92 96 129 138 144 172 184 207 258 276 288 344 368 387 414 516 552 688 736 774 809 828 989 1032 1104 1376 1548 1618 1656 1978 2064 2208 2427 2967 3096 3236 3312 3956 4128 4854 5934 6192 6472 6624 7281 7912 8901 9708 11868 12384 12944 14562 15824 17802 18607 19416 23736 25888 29124 31648 34787 35604 37214 38832 47472 55821 58248 69574 71208 74428 77664 94944 104361 111642 116496 139148 142416 148856 167463 208722 223284 232992 278296 284832 297712 313083 334926 417444 446568 556592 595424 626166 669852 800101 834888 893136 1113184 1252332 1339704 1600202 1669776 1786272 2400303 2504664 2679408 3200404 3339552 4800606 5009328 5358816 6400808 7200909 9601212 10018656 12801616 14401818 19202424 25603232 28803636 38404848 57607272 76809696 115214544 230429088